calH2 and mixed calH2/calH ͚ Stabilization and Disturbance Attenuation for Differential Linear Repetitive Processes


Paszke, W., Galkowski, K., Rogers, E. and Lam, J. (2008) calH2 and mixed calH2/calH ͚ Stabilization and Disturbance Attenuation for Differential Linear Repetitive Processes. IEEE Transactions on Circuits and Systems I: Regular Papers, 55, (9), 2813-2826. (doi:10.1109/TCSI.2008.922026).

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Description/Abstract

Abstract—Repetitive processes are a distinct class of two-dimensional systems (i.e., information propagation in two independent directions) of both systems theoretic and applications interest. A systems theory for them cannot be obtained by direct extension of existing techniques from standard (termed 1-D here) or, in many cases, two-dimensional (2-D) systems theory. Here, we give new results towards the development of such a theory in H_2 and mixed H_2/H_\infty settings. These results are for the sub-class of so-called differential linear repetitive processes and focus on the fundamental problems of stabilization and disturbance attenuation.

Item Type: Article
ISSNs: 1549-8328 (print)
Keywords: calH2 and mixed calH2/calH ͚ control, differential linear repetitive processes, H 2 and mixed H 2/H 1 control, linear matrix inequalities
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 265117
Date Deposited: 27 Jan 2008 16:52
Last Modified: 27 Mar 2014 20:09
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/265117

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